Page 11 Exercise

f[x_] := 2 ((x^3)/(3 ((x^2) - 1)));

iv = {0.81, 0.78, 0.779, 0.775, 0.7747, 0.77462, 0.7746, 
          0.77};

FixedPointList[f, iv[[1]], 15]

FixedPointList[f, iv[[2]], 15]

FixedPointList[f, iv[[3]], 15]

FixedPointList[f, iv[[4]], 15]

FixedPointList[f, iv[[5]], 15]

FixedPointList[f, iv[[6]], 25]

FixedPointList[f, iv[[7]], 25]

FixedPointList[f, iv[[8]], 7]